12L 10s: Difference between revisions
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| Pattern = LLsLsLsLsLsLLsLsLsLsLs | | Pattern = LLsLsLsLsLsLLsLsLsLsLs | ||
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It is the quartertone scale of [[diaschismic]] temperament and its generator is a diatonic semitone no larger than 1\11 (109.091{{cent}}), making 5/4 one period minus two generators, | It is the quartertone scale of [[diaschismic]] temperament and its generator is a diatonic semitone no larger than 1\11 (109.091{{cent}}), making 5/4 one period minus two generators, | ||
Revision as of 04:55, 22 February 2024
| ↖ 11L 9s | ↑ 12L 9s | 13L 9s ↗ |
| ← 11L 10s | 12L 10s | 13L 10s → |
| ↙ 11L 11s | ↓ 12L 11s | 13L 11s ↘ |
Scale structure
sLsLsLsLsLLsLsLsLsLsLL
Generator size
TAMNAMS information
Related MOS scales
Equal tunings
12L 10s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 12 large steps and 10 small steps, with a period of 6 large steps and 5 small steps that repeats every 600.0 ¢, or twice every octave. 12L 10s is a grandchild scale of 2L 8s, expanding it by 12 tones. Generators that produce this scale range from 490.9 ¢ to 500 ¢, or from 100 ¢ to 109.1 ¢.
It is the quartertone scale of diaschismic temperament and its generator is a diatonic semitone no larger than 1\11 (109.091 ¢), making 5/4 one period minus two generators,
Modes
| UDP | Cyclic order |
Step pattern |
|---|---|---|
| 20|0(2) | 1 | LLsLsLsLsLsLLsLsLsLsLs |
| 18|2(2) | 10 | LsLLsLsLsLsLsLLsLsLsLs |
| 16|4(2) | 8 | LsLsLLsLsLsLsLsLLsLsLs |
| 14|6(2) | 6 | LsLsLsLLsLsLsLsLsLLsLs |
| 12|8(2) | 4 | LsLsLsLsLLsLsLsLsLsLLs |
| 10|10(2) | 2 | LsLsLsLsLsLLsLsLsLsLsL |
| 8|12(2) | 11 | sLLsLsLsLsLsLLsLsLsLsL |
| 6|14(2) | 9 | sLsLLsLsLsLsLsLLsLsLsL |
| 4|16(2) | 7 | sLsLsLLsLsLsLsLsLLsLsL |
| 2|18(2) | 5 | sLsLsLsLLsLsLsLsLsLLsL |
| 0|20(2) | 3 | sLsLsLsLsLLsLsLsLsLsLL |
Scale tree
| 2/22 | 109.091 | ||||
| 9/100 | 108 | ||||
| 7/78 | 107.692 | ||||
| 12/134 | 107.463 | ||||
| 5/56 | 107.143 | ||||
| 106.9325 | |||||
| 13/146 | 106.849 | ||||
| 106.799 | |||||
| 8/90 | 106.667 | ||||
| 106.497 | |||||
| 11/124 | 106.452 | ||||
| 3/34 | 105.882 | ||||
| 10/114 | 105.263 | ||||
| 7/80 | 105 | ||||
| 104.829 | |||||
| 11/126 | 104.762 | ||||
| 104.693 | |||||
| 4/46 | 104.348 | ||||
| 104.193 | |||||
| 9/104 | 103.846 | ||||
| 5/58 | 103.448 | ||||
| 6/70 | 102.857 | ||||
| 1/12 | 100 |